Calculate the overall reliability of the system shown below to four significant figures given the individual component reliabilities and assuming that failure of any component does not alter the reliabilities of other components:
Calculate the overall reliability of the system shown below to four significant figures given the individual component reliabilities and assuming that failure of any component does not alter the reliabilities of other components:
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Calculate the overall reliability of the system shown below to four significant figures given the individual component reliabilities and assuming that failure of any component does not alter the reliabilities of other components:

Transcribed Image Text:The image shows a reliability block diagram with several components arranged to illustrate their reliability values. Each grey box contains a numerical value representing the reliability of that component. The diagram is connected with colored lines, reflecting the interconnections:
- The diagram contains eight components with reliability values:
- 0.700
- 0.9000 (multiple components show this value)
- 0.7000
- The blocks are arranged in parallel and series configurations, with lines connecting them to illustrate how they may affect the overall reliability of the system.
- The components with reliability 0.9000 appear frequently and are linked together, indicating multiple instances of high-reliability components.
The diagram is accompanied by a caption: "figures given the individual component reliabilities and assuming that failure of any component does not alter the reliabilities of other components." This illustrates a common assumption in reliability engineering, which is that the failure of one component does not impact the reliability of others.
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